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Finding the Fourth Proportional to 42,090.52, 58,086.32 and 23,229.40

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Solution

The fourth proportional to 42,090.52, 58,086.32 and 23,229.40 is: 32,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,090.52 : 58,086.32 = 23,229.40 : x
  2. Step 2: Convert to fraction form
    42,090.52/58,086.32 = 23,229.40/x
  3. Step 3: Cross multiply
    42,090.52x = 58,086.32 × 23,229.40
  4. Step 4: Simplify right side
    42,090.52x = 1,349,310,361.81
  5. Step 5: Solve for x
    x = 1,349,310,361.81/42,090.52
  6. Step 6: Final answer
    x = 32,057.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.